Patterns in Numbers of a Calendar

Q. Find the square of 24 using diagonal method.

Q.

In the given calander, the difference between the product of the diagonal numbers taken for any four numbers forming a square is equal to

$\begin{array}{ccc}6& 8& 10\\ 9& 12& 15\\ 12& 16& 20\end{array}$

1. 12

2. 6

3. 4

4. 0

Q.

Consider the following calendar.

The Nine numbers form a square as shown below.

The difference between the product of the diagonal numbers will be equal to

1. 21

2. 28

3. 35

4. 7

Q.

Consider the following calendar.

Consider any four numbers which form a square as shown below.

The difference between the product of the diagonal numbers will be equal to

1. 28

2. 7

3. 14

4. 21

Q.

Nine numbers are taken forming a square as shown in figure.

Find the difference between the of sum of squares of the diagonal numbers.

1. 54

2. 56

3. 58

4. 52

Q. If $a=0.1039$, then the value of $\sqrt{4a^2-4a+1}+3a$ is:

1. $0.1039$
2. $0.2078$
3. $1.1039$
4. $2.1039$

Q.

Consider the following calendar.

In which of the following the difference between the product of diagonal number will be equal to 7

1. 

2. 

3. 

4. 

Q. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find how many more plants he need for this.

Q.

Nine number are taken forming a square an shown in figure.

$\begin{array}{ccc}3& 4& 5\\ 10& 11& 12\\ 17& 18& 19\end{array}$

Find the difference between the product of the diagonal numbers.

1. 22

2. 26

3. 28

4. 24

Q. The ratio of the area of a square to that of the square drawn on its diagonal is $1:2$
If true then enter $1$ and if false then enter $0$

Q. Find the square of the following numbers using diagonal method:
$348$

Q. Find the square of the following numbers using diagonal method:
$171$

Q. The value of $\sqrt[3]{3-125\times (-1000)}$ is

1. 50
2. -50
3. 55
4. -55

Q. Find the square of the following numbers using column method. Verify the result by finding the square using the usual multiplication :
$71$